If a : b = 5 : 8, x : y = 25 : 16; evaluate \(\frac{a}{x}\) : \(\frac{b}{y}\)
A
125 : 128
B
3 : 5
C
3 : 4
D
2 : 5
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
a : b = 5 : 8 = 2.5 : 40
x : y = 25 : 16
\(\frac{a}{x}\) : \(\frac{b}{y}\) = \(\frac{25}{25}\) : \(\frac{40}{16}\)
= 1 : \(\frac{40}{16}\)
= 16 : 40
= 2 : 5
Source: Myschool Past Questions Archive (Record #31498)